Parameter estimation method for a linear frequency modulation signal with a Duffing oscillator based on frequency periodicity

doi:10.1088/1674-1056/aca206

中国物理B ›› 2023, Vol. 32 ›› Issue (8): 80701-080701.doi: 10.1088/1674-1056/aca206

Parameter estimation method for a linear frequency modulation signal with a Duffing oscillator based on frequency periodicity

Ningzhe Zhang(张宁哲), Xiaopeng Yan(闫晓鹏)^†, Minghui Lv(吕明慧), Xiumei Chen(陈秀梅), and Dingkun Huang(黄鼎琨)

Science and Technology on Electromechanical Dynamic Control Laboratory, School of Mechatronical Engineering, Beijing Institute of Technology, Beijing 100081, China

收稿日期:2022-08-02 修回日期:2022-10-14 接受日期:2022-11-11 发布日期:2023-07-27
通讯作者: Xiaopeng Yan E-mail:yanxiaopeng@bit.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No.61973037).

Parameter estimation method for a linear frequency modulation signal with a Duffing oscillator based on frequency periodicity

Ningzhe Zhang(张宁哲), Xiaopeng Yan(闫晓鹏)^†, Minghui Lv(吕明慧), Xiumei Chen(陈秀梅), and Dingkun Huang(黄鼎琨)

Science and Technology on Electromechanical Dynamic Control Laboratory, School of Mechatronical Engineering, Beijing Institute of Technology, Beijing 100081, China

Received:2022-08-02 Revised:2022-10-14 Accepted:2022-11-11 Published:2023-07-27
Contact: Xiaopeng Yan E-mail:yanxiaopeng@bit.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No.61973037).

摘要/Abstract

摘要： In view of the complexity of existing linear frequency modulation (LFM) signal parameter estimation methods and the poor antinoise performance and estimation accuracy under a low signal-to-noise ratio (SNR), a parameter estimation method for LFM signals with a Duffing oscillator based on frequency periodicity is proposed in this paper. This method utilizes the characteristic that the output signal of the Duffing oscillator excited by the LFM signal changes periodically with frequency, and the modulation period of the LFM signal is estimated by autocorrelation processing of the output signal of the Duffing oscillator. On this basis, the corresponding relationship between the reference frequency of the frequency-aligned Duffing oscillator and the frequency range of the LFM signal is analyzed by the periodic power spectrum method, and the frequency information of the LFM signal is determined. Simulation results show that this method can achieve high-accuracy parameter estimation for LFM signals at an SNR of -25 dB.

关键词: linear frequency modulation (LFM) signal, Duffing oscillator, frequency periodicity, parameter estimation

Abstract: In view of the complexity of existing linear frequency modulation (LFM) signal parameter estimation methods and the poor antinoise performance and estimation accuracy under a low signal-to-noise ratio (SNR), a parameter estimation method for LFM signals with a Duffing oscillator based on frequency periodicity is proposed in this paper. This method utilizes the characteristic that the output signal of the Duffing oscillator excited by the LFM signal changes periodically with frequency, and the modulation period of the LFM signal is estimated by autocorrelation processing of the output signal of the Duffing oscillator. On this basis, the corresponding relationship between the reference frequency of the frequency-aligned Duffing oscillator and the frequency range of the LFM signal is analyzed by the periodic power spectrum method, and the frequency information of the LFM signal is determined. Simulation results show that this method can achieve high-accuracy parameter estimation for LFM signals at an SNR of -25 dB.

Key words: linear frequency modulation (LFM) signal, Duffing oscillator, frequency periodicity, parameter estimation

中图分类号: (Signal processing electronics)

07.50.Qx

05.45.-a (Nonlinear dynamics and chaos)

Ningzhe Zhang(张宁哲), Xiaopeng Yan(闫晓鹏), Minghui Lv(吕明慧), Xiumei Chen(陈秀梅), and Dingkun Huang(黄鼎琨). Parameter estimation method for a linear frequency modulation signal with a Duffing oscillator based on frequency periodicity[J]. 中国物理B, 2023, 32(8): 80701-080701.

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Parameter estimation method for a linear frequency modulation signal with a Duffing oscillator based on frequency periodicity

Parameter estimation method for a linear frequency modulation signal with a Duffing oscillator based on frequency periodicity

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